Search a number
-
+
45977623 is a prime number
BaseRepresentation
bin1010111101100…
…1000000010111
310012111220102221
42233121000113
543232240443
64321243211
71065542356
oct257310027
9105456387
1045977623
1123a5373a
1213493507
1396aa5c3
14616b99d
154082eed
hex2bd9017

45977623 has 2 divisors, whose sum is σ = 45977624. Its totient is φ = 45977622.

The previous prime is 45977599. The next prime is 45977629. The reversal of 45977623 is 32677954.

45977623 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45977623 is a prime.

It is a super-2 number, since 2×459776232 = 4227883633460258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45977623.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45977629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22988811 + 22988812.

It is an arithmetic number, because the mean of its divisors is an integer number (22988812).

Almost surely, 245977623 is an apocalyptic number.

45977623 is a deficient number, since it is larger than the sum of its proper divisors (1).

45977623 is an equidigital number, since it uses as much as digits as its factorization.

45977623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 43.

The square root of 45977623 is about 6780.6801281287. The cubic root of 45977623 is about 358.2466777779.

The spelling of 45977623 in words is "forty-five million, nine hundred seventy-seven thousand, six hundred twenty-three".